Question

Find the area of an isosceles right triangle, the lengths of whose each side containing the right angle is 15 cm.

Answer 1

Given: An isosceles right triangle with each side containing the right angle equal to 15 cm.

Step-wise calculation:

Area of a right triangle = `1/2` × product of the two sides containing the right angle.

For an isosceles right triangle with equal legs x.

Area = `1/2 x xx x`

= `x^2/2`

Substitute x = 15 cm:

Area = `15^2/2`

= `225/2`

= 112.5 cm²

The area of the triangle is 112.5 cm².